Stochastic Analysis of Groundwater Flow Subject to Random Boundary Conditions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2008-10-01

AUTHORS

Liang-sheng SHI, Jin-zhong YANG, Shu-ying CAI, LIN Lin

ABSTRACT

A stochastic model was developed to simulate the flow in heterogeneous media subject to random boundary conditions. Approximate partial differential equations were derived based on the Karhunen-Loeve (KL) expansion and perturbation expansion. The effect of random boundary conditions on the two-dimensional flow was examined. It is shown that the proposed stochastic model is efficient to include the random boundary conditions. The random boundaries lead to the increase of head variance and velocity variance. The influence of the random boundary conditions on head uncertainty is exerted over the whole simulated region, while the randomness of the boundary conditions leads to the increase of the velocity variance in the vicinity of boundaries. More... »

PAGES

553-560

Identifiers

URI

http://scigraph.springernature.com/pub.10.1016/s1001-6058(08)60094-3

DOI

http://dx.doi.org/10.1016/s1001-6058(08)60094-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1039400580


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China", 
          "id": "http://www.grid.ac/institutes/grid.49470.3e", 
          "name": [
            "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "SHI", 
        "givenName": "Liang-sheng", 
        "id": "sg:person.013753244525.37", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013753244525.37"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China", 
          "id": "http://www.grid.ac/institutes/grid.49470.3e", 
          "name": [
            "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "YANG", 
        "givenName": "Jin-zhong", 
        "id": "sg:person.014731165631.01", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014731165631.01"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China", 
          "id": "http://www.grid.ac/institutes/grid.49470.3e", 
          "name": [
            "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "CAI", 
        "givenName": "Shu-ying", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China", 
          "id": "http://www.grid.ac/institutes/grid.49470.3e", 
          "name": [
            "State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Lin", 
        "givenName": "LIN", 
        "id": "sg:person.010501736247.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010501736247.59"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1016/s1001-6058(07)60030-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021673073", 
          "https://doi.org/10.1016/s1001-6058(07)60030-4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-3094-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033094591", 
          "https://doi.org/10.1007/978-1-4612-3094-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1016/s1001-6058(07)60024-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004637451", 
          "https://doi.org/10.1016/s1001-6058(07)60024-9"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2008-10-01", 
    "datePublishedReg": "2008-10-01", 
    "description": "A stochastic model was developed to simulate the flow in heterogeneous media subject to random boundary conditions. Approximate partial differential equations were derived based on the Karhunen-Loeve (KL) expansion and perturbation expansion. The effect of random boundary conditions on the two-dimensional flow was examined. It is shown that the proposed stochastic model is efficient to include the random boundary conditions. The random boundaries lead to the increase of head variance and velocity variance. The influence of the random boundary conditions on head uncertainty is exerted over the whole simulated region, while the randomness of the boundary conditions leads to the increase of the velocity variance in the vicinity of boundaries.", 
    "genre": "article", 
    "id": "sg:pub.10.1016/s1001-6058(08)60094-3", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1046896", 
        "issn": [
          "1001-6058", 
          "1878-0342"
        ], 
        "name": "Journal of Hydrodynamics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "20"
      }
    ], 
    "keywords": [
      "random boundary conditions", 
      "boundary conditions", 
      "approximate partial differential equations", 
      "stochastic model", 
      "partial differential equations", 
      "Karhunen-Loeve expansion", 
      "two-dimensional flow", 
      "vicinity of boundaries", 
      "velocity variance", 
      "differential equations", 
      "head variance", 
      "stochastic analysis", 
      "heterogeneous media", 
      "perturbation expansion", 
      "flow subject", 
      "random boundaries", 
      "simulated region", 
      "equations", 
      "randomness", 
      "flow", 
      "model", 
      "boundaries", 
      "uncertainty", 
      "variance", 
      "expansion", 
      "conditions", 
      "vicinity", 
      "medium", 
      "analysis", 
      "region", 
      "influence", 
      "effect", 
      "increase", 
      "subjects"
    ], 
    "name": "Stochastic Analysis of Groundwater Flow Subject to Random Boundary Conditions", 
    "pagination": "553-560", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1039400580"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1016/s1001-6058(08)60094-3"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1016/s1001-6058(08)60094-3", 
      "https://app.dimensions.ai/details/publication/pub.1039400580"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-05-10T09:54", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220509/entities/gbq_results/article/article_461.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1016/s1001-6058(08)60094-3"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1016/s1001-6058(08)60094-3'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1016/s1001-6058(08)60094-3'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1016/s1001-6058(08)60094-3'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1016/s1001-6058(08)60094-3'


 

This table displays all metadata directly associated to this object as RDF triples.

120 TRIPLES      22 PREDICATES      61 URIs      51 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1016/s1001-6058(08)60094-3 schema:about anzsrc-for:09
2 schema:author N644f2d470d574eba839020b65a4854c4
3 schema:citation sg:pub.10.1007/978-1-4612-3094-6
4 sg:pub.10.1016/s1001-6058(07)60024-9
5 sg:pub.10.1016/s1001-6058(07)60030-4
6 schema:datePublished 2008-10-01
7 schema:datePublishedReg 2008-10-01
8 schema:description A stochastic model was developed to simulate the flow in heterogeneous media subject to random boundary conditions. Approximate partial differential equations were derived based on the Karhunen-Loeve (KL) expansion and perturbation expansion. The effect of random boundary conditions on the two-dimensional flow was examined. It is shown that the proposed stochastic model is efficient to include the random boundary conditions. The random boundaries lead to the increase of head variance and velocity variance. The influence of the random boundary conditions on head uncertainty is exerted over the whole simulated region, while the randomness of the boundary conditions leads to the increase of the velocity variance in the vicinity of boundaries.
9 schema:genre article
10 schema:inLanguage en
11 schema:isAccessibleForFree false
12 schema:isPartOf N21574aac9cd4419080e228ac3ccbac31
13 Nf0e8e6a5c3b64705a4b248fa94c04529
14 sg:journal.1046896
15 schema:keywords Karhunen-Loeve expansion
16 analysis
17 approximate partial differential equations
18 boundaries
19 boundary conditions
20 conditions
21 differential equations
22 effect
23 equations
24 expansion
25 flow
26 flow subject
27 head variance
28 heterogeneous media
29 increase
30 influence
31 medium
32 model
33 partial differential equations
34 perturbation expansion
35 random boundaries
36 random boundary conditions
37 randomness
38 region
39 simulated region
40 stochastic analysis
41 stochastic model
42 subjects
43 two-dimensional flow
44 uncertainty
45 variance
46 velocity variance
47 vicinity
48 vicinity of boundaries
49 schema:name Stochastic Analysis of Groundwater Flow Subject to Random Boundary Conditions
50 schema:pagination 553-560
51 schema:productId N13f307be5d1547578bee5fac85c02b99
52 N23aec9e685e04d1b8a17f74dc9a3a6c2
53 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039400580
54 https://doi.org/10.1016/s1001-6058(08)60094-3
55 schema:sdDatePublished 2022-05-10T09:54
56 schema:sdLicense https://scigraph.springernature.com/explorer/license/
57 schema:sdPublisher Nc4f14855e1754cf2929a4f998e543a44
58 schema:url https://doi.org/10.1016/s1001-6058(08)60094-3
59 sgo:license sg:explorer/license/
60 sgo:sdDataset articles
61 rdf:type schema:ScholarlyArticle
62 N0b32c9fb7ad5469585062c96f99f3c66 schema:affiliation grid-institutes:grid.49470.3e
63 schema:familyName CAI
64 schema:givenName Shu-ying
65 rdf:type schema:Person
66 N13f307be5d1547578bee5fac85c02b99 schema:name doi
67 schema:value 10.1016/s1001-6058(08)60094-3
68 rdf:type schema:PropertyValue
69 N21574aac9cd4419080e228ac3ccbac31 schema:issueNumber 5
70 rdf:type schema:PublicationIssue
71 N23aec9e685e04d1b8a17f74dc9a3a6c2 schema:name dimensions_id
72 schema:value pub.1039400580
73 rdf:type schema:PropertyValue
74 N644f2d470d574eba839020b65a4854c4 rdf:first sg:person.013753244525.37
75 rdf:rest Nf5bbe0adbc264abc8dd00f5e70310844
76 Na60233af064f4ed38d2942ce96d1073a rdf:first sg:person.010501736247.59
77 rdf:rest rdf:nil
78 Nc4f14855e1754cf2929a4f998e543a44 schema:name Springer Nature - SN SciGraph project
79 rdf:type schema:Organization
80 Nd9473cf924e5411da2faae4b8ed78adb rdf:first N0b32c9fb7ad5469585062c96f99f3c66
81 rdf:rest Na60233af064f4ed38d2942ce96d1073a
82 Nf0e8e6a5c3b64705a4b248fa94c04529 schema:volumeNumber 20
83 rdf:type schema:PublicationVolume
84 Nf5bbe0adbc264abc8dd00f5e70310844 rdf:first sg:person.014731165631.01
85 rdf:rest Nd9473cf924e5411da2faae4b8ed78adb
86 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
87 schema:name Engineering
88 rdf:type schema:DefinedTerm
89 sg:journal.1046896 schema:issn 1001-6058
90 1878-0342
91 schema:name Journal of Hydrodynamics
92 schema:publisher Springer Nature
93 rdf:type schema:Periodical
94 sg:person.010501736247.59 schema:affiliation grid-institutes:grid.49470.3e
95 schema:familyName Lin
96 schema:givenName LIN
97 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010501736247.59
98 rdf:type schema:Person
99 sg:person.013753244525.37 schema:affiliation grid-institutes:grid.49470.3e
100 schema:familyName SHI
101 schema:givenName Liang-sheng
102 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013753244525.37
103 rdf:type schema:Person
104 sg:person.014731165631.01 schema:affiliation grid-institutes:grid.49470.3e
105 schema:familyName YANG
106 schema:givenName Jin-zhong
107 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014731165631.01
108 rdf:type schema:Person
109 sg:pub.10.1007/978-1-4612-3094-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033094591
110 https://doi.org/10.1007/978-1-4612-3094-6
111 rdf:type schema:CreativeWork
112 sg:pub.10.1016/s1001-6058(07)60024-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004637451
113 https://doi.org/10.1016/s1001-6058(07)60024-9
114 rdf:type schema:CreativeWork
115 sg:pub.10.1016/s1001-6058(07)60030-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021673073
116 https://doi.org/10.1016/s1001-6058(07)60030-4
117 rdf:type schema:CreativeWork
118 grid-institutes:grid.49470.3e schema:alternateName State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
119 schema:name State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
120 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...